Answer
$$\,x > 4\,\,\,\,\,\,\,or\,\,\,\,\,\,\,\,\,\,\,x < - \frac{{4\,}}{3}$$
Work Step by Step
$$\eqalign{
& \left| {3x - 4} \right| > 8 \cr
& {\text{Use the property }}\left| x \right| > a\,\,\, \Leftrightarrow \,\,\,x > a{\text{ or }}x < - a \cr
& then \cr
& \left| {3x - 4} \right| > 8\,\,\, \cr
& 3x - 4 > 8\,\,\,\,\,\,\,or\,\,\,\,\,\,\,\,\,\,\,3x - 4 < - 8\,\, \cr
& 3x > 12\,\,\,\,\,\,\,or\,\,\,\,\,\,\,\,\,\,\,3x < - 4\, \cr
& \,x > 4\,\,\,\,\,\,\,or\,\,\,\,\,\,\,\,\,\,\,x < - \frac{{4\,}}{3} \cr} $$
